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200330040 = 233517283347
BaseRepresentation
bin10111111000011…
…00101100111000
3111221221211011010
423330030230320
5402241030130
631513433520
74651530411
oct1374145470
9457854133
10200330040
11a3098a19
125710b8a0
13326715b1
141c86a808
15128c20b0
hexbf0cb38

200330040 has 128 divisors (see below), whose sum is σ = 640431360. Its totient is φ = 49956864.

The previous prime is 200330033. The next prime is 200330041. The reversal of 200330040 is 40033002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200329998 and 200330025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200330041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577147 + ... + 577493.

It is an arithmetic number, because the mean of its divisors is an integer number (5003370).

Almost surely, 2200330040 is an apocalyptic number.

200330040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320215680).

200330040 is an abundant number, since it is smaller than the sum of its proper divisors (440101320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200330040 is a wasteful number, since it uses less digits than its factorization.

200330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 200330040 is about 14153.7994898896. The cubic root of 200330040 is about 585.1250517968.

Adding to 200330040 its reverse (40033002), we get a palindrome (240363042).

The spelling of 200330040 in words is "two hundred million, three hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 283 340 347 408 510 566 680 694 849 1020 1041 1132 1388 1415 1698 1735 2040 2082 2264 2776 2830 3396 3470 4164 4245 4811 5205 5660 5899 6792 6940 8328 8490 9622 10410 11320 11798 13880 14433 16980 17697 19244 20820 23596 24055 28866 29495 33960 35394 38488 41640 47192 48110 57732 58990 70788 72165 88485 96220 98201 115464 117980 141576 144330 176970 192440 196402 235960 288660 294603 353940 392804 491005 577320 589206 707880 785608 982010 1178412 1473015 1669417 1964020 2356824 2946030 3338834 3928040 5008251 5892060 6677668 8347085 10016502 11784120 13355336 16694170 20033004 25041255 33388340 40066008 50082510 66776680 100165020 200330040